We're dividing 342977 by 16 
We're looking to find how many times 16 goes into 342977.

Advancing to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 16

On to step 2:
When dividing 34 by 16, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 2 after subtracting 32 from 34.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 16

Let's proceed to step 3:
If we divide 22 by 16, we get 1 and a remainder of 6.
The next digit of our result is 1. 
Result so far: 21.0
If we subtract 16 from 22, we get 6.
Include the next digit (9) from the dividend after 6, then repeat: 69 / 16

Advancing to step 4:
16 goes into 69 4 times with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 214.0
Subtract 64 from 69 to get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 16

Let's proceed to step 5:
57 divided by 16 is 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 2143.0
The remainder is 9 after subtracting 48 from 57.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 16

Let's proceed to step 6:
When dividing 97 by 16, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 21436.0
The remainder is 1 after subtracting 96 from 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 16, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 21436.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 21436.06
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 21436.062
Deduct 32 from 40 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 21436.0625
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 21436.0625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 21436.0625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 21436.0625 with a remainder of 0.0.